solve find the sum of the inverse of the roots of equation x²- 7x+ 12 =0
Answers
Answered by
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Step-by-step explanation:
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Answered by
0
Answer:
X^2+7X+12=0
=X^2+(4+3)X+12
=X^2+4X+3X+12
=X(X+4)+3(X+4)
= (X+4).(X+3)
Ans is X= -4, -3
Step-by-step explanation:
Let the equation has two roots be c and d.
So, A.T.Q.
c + d = -(coefficient of x)/(coefficient of x^2)
c + d = -7/1 = -7
OR
x^2 + 4x + 3x + 12 = 0
x(x + 4)+3(x+4) = 0
(x+3)(x+4) = 0
So, the roots are -3, -4.
Hence, the sum of roots is -7.
THANK YOU !!
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